The lenght of a rectangle is 10cm greater than its width. The perimeter of the rectangle is 1m. A.Find the simplest expression for the perimeter for the rectangle if the width is x.B. Find the width of the rectangle. C. Calculate the area of the rectangle. Answers: A=20+x .B=20 .C=600

Width = X cm.

Length = (X+10) cm.
P = 1 m = 100 cm.

B. P = 2(X+10) + 2x = 100 cm.
2x + 20 + 2x = 100
4x = 100 - 20 = 80
X = 80/4 = 20.

C. L = x + 10 = 20 + 10 = 30 cm.
A = L*W = 30 * 20 = 600 cm.

less than 8 inches in lengh width and height

To find the solutions, let's go step-by-step:

A. Find the simplest expression for the perimeter of the rectangle if the width is x.

We know that the length of the rectangle is 10cm greater than its width. So, we can write the length as x + 10.
The perimeter of a rectangle is given by the formula P = 2(length + width).
Substituting the given values, we have P = 2(x + 10 + x).
This simplifies to P = 2(2x + 10) which can be further simplified to P = 4x + 20.
Therefore, the simplest expression for the perimeter is P = 4x + 20.

B. Find the width of the rectangle.

The perimeter of the rectangle is given as 1m, which is equal to 100cm (since 1m = 100cm).
Using the expression for the perimeter we found above, we have 4x + 20 = 100.
Simplifying this equation, we subtract 20 from both sides: 4x = 80.
Dividing both sides by 4, we find x = 20.
So, the width of the rectangle is 20cm.

C. Calculate the area of the rectangle.

To calculate the area of a rectangle, we multiply the length by the width.
In this case, the length is x + 10 and the width is x.
So, the area of the rectangle is A = (x + 10) * x.
Expanding this expression, we have A = x^2 + 10x.
For x = 20, substituting the value, we get A = 20^2 + 10*20 = 400 + 200 = 600.
Therefore, the area of the rectangle is 600 square centimeters.

To find the answers to these questions, we will start by setting up and solving equations based on the given information.

A. In order to find the simplest expression for the perimeter, we need to use the equation for the perimeter of a rectangle, which is twice the sum of its length and width.

Let's assume the width of the rectangle is x. According to the given information, the length of the rectangle is 10 cm greater than the width, which means it is x + 10.

The perimeter is 1 meter, which is equal to 100 centimeters. So, we can set up the equation:
2(x + x + 10) = 100

Simplifying the equation:
2(2x + 10) = 100
4x + 20 = 100
4x = 80
x = 20

So, the simplest expression for the perimeter of the rectangle, when the width is x, is A = 20 + x.

B. We have already found that the width of the rectangle is 20 cm (x = 20).

C. To calculate the area of the rectangle, we multiply its length by its width.
The length of the rectangle is x + 10, which is 30 cm.
So, the area is 20 cm (width) multiplied by 30 cm (length), which equals 600 cm^2.

Therefore, the answers are:
A. The simplest expression for the perimeter is A = 20 + x.
B. The width of the rectangle is 20 cm.
C. The area of the rectangle is 600 cm^2.